The demand for lightweight, high-strength structures in modern transportation and construction has spurred growing interest in advanced composite sandwich plates. This study presents a numerical investigation of the transient dynamic behavior of rectangular and elliptical sandwich plates with non-uniform thickness. The plates consist of a functionally graded porous (FGP) core and composite face sheets reinforced with graphene platelets (GPLs) and graphene origami-enabled auxetic metamaterials (GOAM), referred to as GPL/FGP/GOAM plates. The plate’s thickness curves across both horizontal directions and is supported by a flexible Pasternak foundation. The governing equations are derived using Hamilton’s principle within the framework of higher-order shear strain theory and formulated in weak form. The high-order finite element method (h-FEM) combined with the Newmark time integration method is used to determine the dynamic responses under explosive loading. The proposed model is validated through comparisons with available references. Studies are done to see how changes in shape, material types, reinforcement placement, and foundation details affect how the structure behaves when it moves. The results offer helpful information regarding the design and optimization of lightweight sandwich structures under dynamic loading conditions in aerospace, transportation, civil, defence, and marine engineering applications.
Xuan et al. (Mon,) studied this question.
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